Fuzzy Mathematics. An Introduction for Engineers and Scientists (Studies in Fuzziness and Soft Computing Vol. 20) (Studies in Fuzziness and Soft Computing, 20, Band 20) - Hardcover

Mordeson, John N.; Nair, Premchand S.

 
9783790814200: Fuzzy Mathematics. An Introduction for Engineers and Scientists (Studies in Fuzziness and Soft Computing Vol. 20) (Studies in Fuzziness and Soft Computing, 20, Band 20)
Hardcover
ISBN 10: 3790814202 ISBN 13: 9783790814200
Verlag: Physica-Verlag Heidelberg, 2001

Inhaltsangabe

In the mid-1960's I had the pleasure of attending a talk by Lotfi Zadeh at which he presented some of his basic (and at the time, recent) work on fuzzy sets. Lotfi's algebra of fuzzy subsets of a set struck me as very nice; in fact, as a graduate student in the mid-1950's, I had suggested similar ideas about continuous-truth-valued propositional calculus (inffor "and", sup for "or") to my advisor, but he didn't go for it (and in fact, confused it with the foundations of probability theory), so I ended up writing a thesis in a more conventional area of mathematics (differential algebra). I especially enjoyed Lotfi's discussion of fuzzy convexity; I remember talking to him about possible ways of extending this work, but I didn't pursue this at the time. I have elsewhere told the story of how, when I saw C. L. Chang's 1968 paper on fuzzy topological spaces, I was impelled to try my hand at fuzzi­ fying algebra. This led to my 1971 paper "Fuzzy groups", which became the starting point of an entire literature on fuzzy algebraic structures. In 1974 King-Sun Fu invited me to speak at a U. S. -Japan seminar on Fuzzy Sets and their Applications, which was to be held that summer in Berkeley.

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Über die Autorin bzw. den Autor

Dr. John N. Mordeson is Professor Emeritus of Mathematics at Creighton University. He received his B.S., M.S., and Ph.D. from Iowa State University. He is a Member of Phi Kappa Phi. He is a President of the Society for Mathematics of Uncertainty. He has published ¿fteen books and two hundred journal articles. He is on the editorial board of numerous journals. He has served as an external examiner of Ph.D. candidates from India, South Africa, Bulgaria, and Pakistan. He has refereed for numerous journals and granting agencies. He is particularly interested in applying mathematics of uncertainty to combat the problem of human traf¿cking. Dr. Sunil Mathew is currently a Faculty Member in the Department of Mathematics, NIT Calicut, India. He has acquired his masters from St. Joseph's College Devagiri, Calicut, and Ph.D. from National Institute of Technology Calicut in the area of Fuzzy Graph Theory. He has published more than seventy-¿ve research papers and written two books. He is a Member of several academic bodies and associations. He is editor and reviewer of several international journals. He has an experience of twenty years in teaching and research. His current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos. Dr. Davender S. Malik is a Professor of Mathematics at Creighton University. He received his Ph.D. from Ohio University and has published more than ¿fty-¿ve papers and eighteen books on abstract algebra, applied mathematics, graph theory, fuzzy automata theory and languages, fuzzy logic and its applications, programming, data structures, and discrete mathematics.

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Verlag
Physica-Verlag Heidelberg
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
3790814202
ISBN 13 
9783790814200
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
310
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